Dalbono, Francesca Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations. (English) Zbl 07522889 Topol. Methods Nonlinear Anal. 59, No. 1, 163-191 (2022). MSC: 34B15 PDF BibTeX XML Cite \textit{F. Dalbono}, Topol. Methods Nonlinear Anal. 59, No. 1, 163--191 (2022; Zbl 07522889) Full Text: DOI OpenURL
Arratia, Juan; Pereira, Denilson; Ubilla, Pedro Elliptic systems involving Schrödinger operators with vanishing potentials. (English) Zbl 1484.35182 Discrete Contin. Dyn. Syst. 42, No. 3, 1369-1401 (2022). MSC: 35J47 35J61 35A01 35A15 PDF BibTeX XML Cite \textit{J. Arratia} et al., Discrete Contin. Dyn. Syst. 42, No. 3, 1369--1401 (2022; Zbl 1484.35182) Full Text: DOI OpenURL
Mtiri, Foued Liouville type theorems for stable solutions of elliptic system involving the Grushin operator. (English) Zbl 1484.35215 Commun. Pure Appl. Anal. 21, No. 2, 541-553 (2022). MSC: 35J61 35B53 PDF BibTeX XML Cite \textit{F. Mtiri}, Commun. Pure Appl. Anal. 21, No. 2, 541--553 (2022; Zbl 1484.35215) Full Text: DOI arXiv OpenURL
Le, Phuong; Duong, Anh Tuan; Nguyen, Nhu Thang Liouville-type theorems for sub-elliptic systems involving \(\Delta_{\lambda}\)-Laplacian. (English) Zbl 1481.35098 Complex Var. Elliptic Equ. 66, No. 12, 2131-2140 (2021). MSC: 35B53 35B35 35H20 35J61 35J70 35R45 PDF BibTeX XML Cite \textit{P. Le} et al., Complex Var. Elliptic Equ. 66, No. 12, 2131--2140 (2021; Zbl 1481.35098) Full Text: DOI OpenURL
Peng, Shaolong Liouville theorems for fractional and higher-order Hénon-Hardy systems on \(\mathbb{R}^n\). (English) Zbl 1483.35325 Complex Var. Elliptic Equ. 66, No. 11, 1839-1863 (2021). MSC: 35R11 35B53 35J47 35J61 PDF BibTeX XML Cite \textit{S. Peng}, Complex Var. Elliptic Equ. 66, No. 11, 1839--1863 (2021; Zbl 1483.35325) Full Text: DOI OpenURL
Dai, Wei; Qin, Guolin Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications. (English) Zbl 1473.35082 J. Funct. Anal. 281, No. 10, Article ID 109227, 37 p. (2021). MSC: 35B53 35B45 35J40 35J91 PDF BibTeX XML Cite \textit{W. Dai} and \textit{G. Qin}, J. Funct. Anal. 281, No. 10, Article ID 109227, 37 p. (2021; Zbl 1473.35082) Full Text: DOI arXiv OpenURL
Mtiri, Foued On the classification of solutions to a weighted elliptic system involving the Grushin operator. (English) Zbl 1470.35158 Acta Appl. Math. 174, Paper No. 7, 21 p. (2021). MSC: 35J48 37J70 PDF BibTeX XML Cite \textit{F. Mtiri}, Acta Appl. Math. 174, Paper No. 7, 21 p. (2021; Zbl 1470.35158) Full Text: DOI arXiv OpenURL
Le, Phuong Method of scaling spheres for integral and polyharmonic systems. (English) Zbl 1472.35141 J. Differ. Equations 298, 132-158 (2021). MSC: 35J48 45G15 35B53 35B09 35A01 PDF BibTeX XML Cite \textit{P. Le}, J. Differ. Equations 298, 132--158 (2021; Zbl 1472.35141) Full Text: DOI OpenURL
Liao, Tianyu The regularity lifting methods for nonnegative solutions of Lane-Emden system. (English) Zbl 1466.35214 Commun. Pure Appl. Anal. 20, No. 4, 1681-1698 (2021). MSC: 35J91 35J47 35B65 PDF BibTeX XML Cite \textit{T. Liao}, Commun. Pure Appl. Anal. 20, No. 4, 1681--1698 (2021; Zbl 1466.35214) Full Text: DOI OpenURL
Cao, Daomin; Qin, Guolin Liouville type theorems for fractional and higher-order fractional systems. (English) Zbl 1466.35118 Discrete Contin. Dyn. Syst. 41, No. 5, 2269-2283 (2021). MSC: 35J30 35R11 35B53 PDF BibTeX XML Cite \textit{D. Cao} and \textit{G. Qin}, Discrete Contin. Dyn. Syst. 41, No. 5, 2269--2283 (2021; Zbl 1466.35118) Full Text: DOI arXiv OpenURL
Duong, Anh Tuan; Phan, Quoc Hung Optimal Liouville-type theorems for a system of parabolic inequalities. (English) Zbl 1445.35097 Commun. Contemp. Math. 22, No. 6, Article ID 1950043, 22 p. (2020). MSC: 35B53 35R45 35K55 35B33 PDF BibTeX XML Cite \textit{A. T. Duong} and \textit{Q. H. Phan}, Commun. Contemp. Math. 22, No. 6, Article ID 1950043, 22 p. (2020; Zbl 1445.35097) Full Text: DOI OpenURL
Biswas, Anup; Lierl, Janna Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces. (English) Zbl 1435.35138 J. Funct. Anal. 278, No. 8, Article ID 108429, 43 p. (2020). Reviewer: Feng-Yu Wang (Swansea) MSC: 35J10 35K08 35J08 47D07 81Q35 PDF BibTeX XML Cite \textit{A. Biswas} and \textit{J. Lierl}, J. Funct. Anal. 278, No. 8, Article ID 108429, 43 p. (2020; Zbl 1435.35138) Full Text: DOI arXiv OpenURL
Liu, Xiaoqian; Lei, Yutian Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type. (English) Zbl 1439.45004 Discrete Contin. Dyn. Syst. 40, No. 1, 467-489 (2020). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45E10 45G15 45M20 46E35 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Y. Lei}, Discrete Contin. Dyn. Syst. 40, No. 1, 467--489 (2020; Zbl 1439.45004) Full Text: DOI OpenURL
Marino, Greta; Winkert, Patrick Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition. (English) Zbl 1435.35163 J. Math. Anal. Appl. 482, No. 2, Article ID 123555, 19 p. (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J60 PDF BibTeX XML Cite \textit{G. Marino} and \textit{P. Winkert}, J. Math. Anal. Appl. 482, No. 2, Article ID 123555, 19 p. (2020; Zbl 1435.35163) Full Text: DOI arXiv OpenURL
Vetois, Jerome Decay estimates and symmetry of finite energy solutions to elliptic systems in \(\mathbb{R}^n\). (English) Zbl 1437.35262 Indiana Univ. Math. J. 68, No. 3, 663-696 (2019). Reviewer: Giovany Malcher Figueiredo (Brasília) MSC: 35J47 35J91 PDF BibTeX XML Cite \textit{J. Vetois}, Indiana Univ. Math. J. 68, No. 3, 663--696 (2019; Zbl 1437.35262) Full Text: DOI arXiv OpenURL
Yang, Hui; Zou, Wenming Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian. (English) Zbl 1414.35015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 208-224 (2019). MSC: 35B06 35B53 35J65 35R11 35B33 PDF BibTeX XML Cite \textit{H. Yang} and \textit{W. Zou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 208--224 (2019; Zbl 1414.35015) Full Text: DOI OpenURL
Li, Kui; Zhang, Zhitao Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\). (English) Zbl 1410.35040 J. Differ. Equations 266, No. 1, 202-226 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J61 35B33 35B53 PDF BibTeX XML Cite \textit{K. Li} and \textit{Z. Zhang}, J. Differ. Equations 266, No. 1, 202--226 (2019; Zbl 1410.35040) Full Text: DOI OpenURL
Lalili, Hadjira; Tas, Saâdia; Djellit, Ali Positive solutions for nonvariational systems with asymptotically homogeneous operators. (English) Zbl 1391.35167 Mediterr. J. Math. 15, No. 2, Paper No. 56, 14 p. (2018). MSC: 35J92 35J48 35B09 PDF BibTeX XML Cite \textit{H. Lalili} et al., Mediterr. J. Math. 15, No. 2, Paper No. 56, 14 p. (2018; Zbl 1391.35167) Full Text: DOI OpenURL
de Lima, Romildo N.; Souto, Marco A. S. Existence of positive solution for a system of elliptic equations via bifurcation theory. (English) Zbl 1376.35008 J. Math. Anal. Appl. 457, No. 1, 287-304 (2018). MSC: 35J05 35J61 35B09 PDF BibTeX XML Cite \textit{R. N. de Lima} and \textit{M. A. S. Souto}, J. Math. Anal. Appl. 457, No. 1, 287--304 (2018; Zbl 1376.35008) Full Text: DOI arXiv OpenURL
Zhang, Lizhi; Yu, Mei; He, Jianming A Liouville theorem for a class of fractional systems in \(\mathbb{R}_+^n\). (English) Zbl 1396.35081 J. Differ. Equations 263, No. 9, 6025-6065 (2017). MSC: 35S15 35B06 35J61 35R11 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Differ. Equations 263, No. 9, 6025--6065 (2017; Zbl 1396.35081) Full Text: DOI arXiv OpenURL
Carioli, Andrea; Musina, Roberta The Hénon-Lane-Emden system: a sharp nonexistence result. (English) Zbl 1375.35099 Adv. Nonlinear Stud. 17, No. 3, 517-526 (2017). MSC: 35J05 35R45 PDF BibTeX XML Cite \textit{A. Carioli} and \textit{R. Musina}, Adv. Nonlinear Stud. 17, No. 3, 517--526 (2017; Zbl 1375.35099) Full Text: DOI arXiv OpenURL
Ferreira, Lucas C. F.; Medeiros, Everaldo; Montenegro, Marcelo An elliptic system and the critical hyperbola. (English) Zbl 1314.35041 Commun. Pure Appl. Anal. 14, No. 3, 1169-1182 (2015). MSC: 35J47 35J60 35A01 35A02 35B33 35B06 35C15 35B65 PDF BibTeX XML Cite \textit{L. C. F. Ferreira} et al., Commun. Pure Appl. Anal. 14, No. 3, 1169--1182 (2015; Zbl 1314.35041) Full Text: DOI OpenURL
Hajlaoui, Hatem; Harrabi, Abdellaziz; Mtiri, Foued Morse indices of solutions for super-linear elliptic PDE’s. (English) Zbl 1315.35076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 180-192 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J25 PDF BibTeX XML Cite \textit{H. Hajlaoui} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 180--192 (2015; Zbl 1315.35076) Full Text: DOI arXiv OpenURL
Villavert, John Shooting with degree theory: analysis of some weighted poly-harmonic systems. (English) Zbl 1310.35103 J. Differ. Equations 257, No. 4, 1148-1167 (2014). Reviewer: Tihomir Gyulov (Ruse) MSC: 35J48 35B09 35B33 47H11 35B06 35B08 PDF BibTeX XML Cite \textit{J. Villavert}, J. Differ. Equations 257, No. 4, 1148--1167 (2014; Zbl 1310.35103) Full Text: DOI arXiv OpenURL
Quittner, Pavol A priori estimates, existence and Liouville theorems for semilinear elliptic systems with power nonlinearities. (English) Zbl 1288.35233 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 144-158 (2014). Reviewer: Florin Catrina (New York) MSC: 35J47 35J61 35B45 35A01 35B53 35B09 PDF BibTeX XML Cite \textit{P. Quittner}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 144--158 (2014; Zbl 1288.35233) Full Text: DOI OpenURL
Fazly, Mostafa; Ghoussoub, Nassif On the Hénon-Lane-Emden conjecture. (English) Zbl 1285.35024 Discrete Contin. Dyn. Syst. 34, No. 6, 2513-2533 (2014). MSC: 35J47 35B33 35B45 35B08 35B53 PDF BibTeX XML Cite \textit{M. Fazly} and \textit{N. Ghoussoub}, Discrete Contin. Dyn. Syst. 34, No. 6, 2513--2533 (2014; Zbl 1285.35024) Full Text: DOI arXiv OpenURL
Bae, Soohyun; Kwon, Ohsang Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity. (English) Zbl 1242.35118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 10, 4025-4032 (2012). MSC: 35J47 35B09 35J60 PDF BibTeX XML Cite \textit{S. Bae} and \textit{O. Kwon}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 10, 4025--4032 (2012; Zbl 1242.35118) Full Text: DOI OpenURL
Quittner, Pavol; Souplet, Philippe Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. (English) Zbl 1254.35077 Commun. Math. Phys. 311, No. 1, 1-19 (2012). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35J57 35B53 35J91 35Q60 35J10 35B45 PDF BibTeX XML Cite \textit{P. Quittner} and \textit{P. Souplet}, Commun. Math. Phys. 311, No. 1, 1--19 (2012; Zbl 1254.35077) Full Text: DOI OpenURL
Zhang, Zhengce Nonexistence of positive solutions of an integral system with weights. (English) Zbl 1273.35031 Adv. Difference Equ. 2011, Paper No. 61, 10 p. (2011). MSC: 35B09 35J99 45E10 45G05 PDF BibTeX XML Cite \textit{Z. Zhang}, Adv. Difference Equ. 2011, Paper No. 61, 10 p. (2011; Zbl 1273.35031) Full Text: DOI OpenURL
Dancer, E. N.; Wei, Juncheng; Weth, Tobias A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. (English) Zbl 1191.35121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953-969 (2010). MSC: 35J57 35J47 35J10 81V80 35B45 35Q55 35B53 PDF BibTeX XML Cite \textit{E. N. Dancer} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953--969 (2010; Zbl 1191.35121) Full Text: DOI OpenURL
Yuxiang, Li Optimal conditions for a priori estimates for semilinear elliptic systems with two components. (English) Zbl 1186.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1850-1864 (2010). MSC: 35J57 35J47 35J61 35B45 35D30 35B65 PDF BibTeX XML Cite \textit{L. Yuxiang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1850--1864 (2010; Zbl 1186.35056) Full Text: DOI OpenURL
Souplet, Philippe The proof of the Lane-Emden conjecture in four space dimensions. (English) Zbl 1171.35035 Adv. Math. 221, No. 5, 1409-1427 (2009). Reviewer: Marco Biroli (Milano) MSC: 35J45 35J60 35B33 35B45 35J50 PDF BibTeX XML Cite \textit{P. Souplet}, Adv. Math. 221, No. 5, 1409--1427 (2009; Zbl 1171.35035) Full Text: DOI OpenURL
Li, Yuxiang Optimal conditions for \(L^\infty \)-regularity and a priori estimates for semilinear elliptic systems. (English) Zbl 1160.35018 J. Math. Anal. Appl. 351, No. 1, 257-276 (2009). MSC: 35D10 35J60 35J55 35B45 PDF BibTeX XML Cite \textit{Y. Li}, J. Math. Anal. Appl. 351, No. 1, 257--276 (2009; Zbl 1160.35018) Full Text: DOI arXiv OpenURL
Dahmani, Z.; Karami, F.; Kerbal, S. Nonexistence of positive solutions to nonlinear nonlocal elliptic systems. (English) Zbl 1147.35306 J. Math. Anal. Appl. 346, No. 1, 22-29 (2008). MSC: 35J45 35J60 PDF BibTeX XML Cite \textit{Z. Dahmani} et al., J. Math. Anal. Appl. 346, No. 1, 22--29 (2008; Zbl 1147.35306) Full Text: DOI OpenURL
Cheng, Xiyou; Zhong, Chengkui Existence of three nontrivial solutions for an elliptic system. (English) Zbl 1159.35334 J. Math. Anal. Appl. 327, No. 2, 1420-1430 (2007). MSC: 35J55 35J50 35D05 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{C. Zhong}, J. Math. Anal. Appl. 327, No. 2, 1420--1430 (2007; Zbl 1159.35334) Full Text: DOI OpenURL
de Figueiredo, Djairo G.; Sirakov, Boyan Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems. (English) Zbl 1165.35360 Math. Ann. 333, No. 2, 231-260 (2005). MSC: 35J57 35B45 35J60 PDF BibTeX XML Cite \textit{D. G. de Figueiredo} and \textit{B. Sirakov}, Math. Ann. 333, No. 2, 231--260 (2005; Zbl 1165.35360) Full Text: DOI HAL OpenURL
Chen, Wenyan; Wang, Mingxin Positive steady states of a competitor-competitor-mutualist model. (English) Zbl 1135.35327 Acta Math. Appl. Sin., Engl. Ser. 20, No. 1, 53-58 (2004). MSC: 35J55 35J60 92C40 92D25 PDF BibTeX XML Cite \textit{W. Chen} and \textit{M. Wang}, Acta Math. Appl. Sin., Engl. Ser. 20, No. 1, 53--58 (2004; Zbl 1135.35327) Full Text: DOI OpenURL
Quittner, P.; Souplet, Ph. A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. (English) Zbl 1113.35062 Arch. Ration. Mech. Anal. 174, No. 1, 49-81 (2004). MSC: 35J55 35J50 35J60 PDF BibTeX XML Cite \textit{P. Quittner} and \textit{Ph. Souplet}, Arch. Ration. Mech. Anal. 174, No. 1, 49--81 (2004; Zbl 1113.35062) Full Text: DOI OpenURL
Defigueiredo, Djario G. Nonlinear elliptic systems. (English) Zbl 0970.35050 An. Acad. Bras. Ciênc. 72, No. 4, 453-469 (2000). Reviewer: Mervan Pašić (Zagreb) MSC: 35J65 35J50 35A15 35A05 35B45 PDF BibTeX XML Cite \textit{D. G. Defigueiredo}, An. Acad. Bras. Ciênc. 72, No. 4, 453--469 (2000; Zbl 0970.35050) Full Text: DOI OpenURL
Bidaut-Veron, Marie-Francoise Local behaviour of solutions of Hamiltonian systems with diffusion or absorption. (English) Zbl 0890.35045 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3245-3254 (1997). MSC: 35J60 35J45 PDF BibTeX XML Cite \textit{M.-F. Bidaut-Veron}, Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3245--3254 (1997; Zbl 0890.35045) Full Text: DOI OpenURL
Molina-Meyer, Marcela Existence and uniqueness of coexistence states for some nonlinear elliptic systems. (English) Zbl 0878.35047 Nonlinear Anal., Theory Methods Appl. 25, No. 3, 279-296 (1995). MSC: 35J65 35J55 PDF BibTeX XML Cite \textit{M. Molina-Meyer}, Nonlinear Anal., Theory Methods Appl. 25, No. 3, 279--296 (1995; Zbl 0878.35047) Full Text: DOI OpenURL